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Class 9 · Mathematics · Easy

If A = {2, 4, 6, 8}, in which form is A written?

Class 12 · Mathematics · Expert

On all subsets of (A={1,2,3,4}), (XRY) if and only if (|X|=|Y|). How many subsets are in the equivalence class of ({1,2})?

Class 12 · Mathematics · Hard

On the set of all subsets of (S={1,2,3,4,5,6}), (A R B) holds when (|A|=|B|). How many members are in the equivalence class of a (2)-element subset?

Class 12 · Mathematics · Hard

On the set of all subsets of (S={1,2,3,4}), (A R B) holds when (|A\cap{1,2}|=|B\cap{1,2}|). What is the size of the equivalence class of ({1,3})?

Class 12 · Mathematics · Hard

On the set of all subsets of (S={1,2,3,4,5}), (A R B) holds when (|A|=|B|). How many members are in the equivalence class of a (3)-element subset?

Class 12 · Mathematics · Medium

On the set of all subsets of (S={1,2,3}), (A R B) holds when (A) and (B) have the same number of elements. Which is the equivalence class of ({1,2})?

Class 12 · Mathematics · Medium

Which option gives a valid partition of (A={1,2,3,4,5})?

Class 12 · Mathematics · Expert

On (A={1,2,3,4,5,6}), (R={(a,b):a\mid b\text{ and }a\ne b}). What is the nature of this relation?

Class 12 · Mathematics · Expert

On (A={1,2,3,6,9,18}), (aRb) is defined when (a) divides (b). Which statement is correct?

Class 12 · Mathematics · Expert

On (A={1,2,3,4,6,12}), (aRb) is defined when (a) divides (b). What is the nature of this relation?

Class 12 · Mathematics · Hard

On sets, (A,R,B) if (A\subset B), where (A) is a proper subset. What type of relation is (R)?

Class 12 · Mathematics · Hard

On a family of sets, (A,R,B) if (A\supseteq B). What type of relation is this?

Class 12 · Mathematics · Hard

On sets, (A,R,B) if (A\cap B=\varnothing). Is this relation transitive?

Class 12 · Mathematics · Hard

On a family of sets, (A,R,B) if (A\subseteq B). What type of relation is (R)?

Class 12 · Mathematics · Medium

On a family of sets, define (A R B) if (A \cap B=\varnothing). Is this relation transitive?

Class 12 · Mathematics · Medium

On a family of sets, define (A R B) if (A \subseteq B). Is this relation transitive?

Class 12 · Mathematics · Easy

For a family of sets, (ARB) means (A\subseteq B). What is the relation?

Class 12 · Mathematics · Easy

On a collection of sets, relation (R) is defined by (A,R,B) if (A\subseteq B). What is this relation?

Class 12 · Mathematics · Expert

On (A={1,2,3}), (R={(1,2),(2,1)}) and (S={(2,3),(3,2)}). What is (R\cup S)?

Class 12 · Mathematics · Expert

On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)}). Which pair should be added to make (R) symmetric?